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Simplifying 3z + -21 = -57 + 9z Reorder the terms: -21 + 3z = -57 + 9z Solving -21 + 3z = -57 + 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. -21 + 3z + -9z = -57 + 9z + -9z Combine like terms: 3z + -9z = -6z -21 + -6z = -57 + 9z + -9z Combine like terms: 9z + -9z = 0 -21 + -6z = -57 + 0 -21 + -6z = -57 Add '21' to each side of the equation. -21 + 21 + -6z = -57 + 21 Combine like terms: -21 + 21 = 0 0 + -6z = -57 + 21 -6z = -57 + 21 Combine like terms: -57 + 21 = -36 -6z = -36 Divide each side by '-6'. z = 6 Simplifying z = 6
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